1. Factor the equation (x + 2)(x + 3) = 0. 2. Set each factor equal to zero: x + 2 = 0 and x + 3 = 0. 3. Solve for x: x = -2 and x = -3.

Solve 9464/34 | Equatix

Question

$$9464/34$$

Evaluate

$\frac{4732}{17}\approx 278.352941176$

Steps For Long Division Method

Use the $1^{st}$ digit $9$ from dividend $9464$

$$\begin{array}{l}\phantom{34)}\phantom{1}\\34\overline{)9464}\\\end{array}$$

Since $9$ is less than $34$, use the next digit $4$ from dividend $9464$ and add $0$ to the quotient

$$\begin{array}{l}\phantom{34)}0\phantom{2}\\34\overline{)9464}\\\end{array}$$

Use the $2^{nd}$ digit $4$ from dividend $9464$

$$\begin{array}{l}\phantom{34)}0\phantom{3}\\34\overline{)9464}\\\end{array}$$

Find closest multiple of $34$ to $94$. We see that $2 \times 34 = 68$ is the nearest. Now subtract $68$ from $94$ to get reminder $26$. Add $2$ to quotient.

$$\begin{array}{l}\phantom{34)}02\phantom{4}\\34\overline{)9464}\\\phantom{34)}\underline{\phantom{}68\phantom{99}}\\\phantom{34)}26\\\end{array}$$

Use the $3^{rd}$ digit $6$ from dividend $9464$

$$\begin{array}{l}\phantom{34)}02\phantom{5}\\34\overline{)9464}\\\phantom{34)}\underline{\phantom{}68\phantom{99}}\\\phantom{34)}266\\\end{array}$$

Find closest multiple of $34$ to $266$. We see that $7 \times 34 = 238$ is the nearest. Now subtract $238$ from $266$ to get reminder $28$. Add $7$ to quotient.

$$\begin{array}{l}\phantom{34)}027\phantom{6}\\34\overline{)9464}\\\phantom{34)}\underline{\phantom{}68\phantom{99}}\\\phantom{34)}266\\\phantom{34)}\underline{\phantom{}238\phantom{9}}\\\phantom{34)9}28\\\end{array}$$

Use the $4^{th}$ digit $4$ from dividend $9464$

$$\begin{array}{l}\phantom{34)}027\phantom{7}\\34\overline{)9464}\\\phantom{34)}\underline{\phantom{}68\phantom{99}}\\\phantom{34)}266\\\phantom{34)}\underline{\phantom{}238\phantom{9}}\\\phantom{34)9}284\\\end{array}$$

Find closest multiple of $34$ to $284$. We see that $8 \times 34 = 272$ is the nearest. Now subtract $272$ from $284$ to get reminder $12$. Add $8$ to quotient.

$$\begin{array}{l}\phantom{34)}0278\phantom{8}\\34\overline{)9464}\\\phantom{34)}\underline{\phantom{}68\phantom{99}}\\\phantom{34)}266\\\phantom{34)}\underline{\phantom{}238\phantom{9}}\\\phantom{34)9}284\\\phantom{34)}\underline{\phantom{9}272\phantom{}}\\\phantom{34)99}12\\\end{array}$$

Since $12$ is less than $34$, stop the division. The reminder is $12$. The topmost line $0278$ is the quotient. Remove all zeros at the start of the quotient to get the actual quotient $278$.

$$\text{Quotient: }278$$ $$\text{Reminder: }12$$

Show Solution

Factor

$\frac{2 ^ {2} \cdot 7 \cdot 13 ^ {2}}{17} = 278\frac{6}{17} = 278.3529411764706$

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Steps For Long Division Method

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